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SSC CGL 2025 PYQ — Question 65

SSC CGL - 18 Sep 2025 - Shift 1 • Quantitative Aptitude • Q65

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A vertical pole TF has its base F on the ground. From a point A, 25 meters from F, the angle of elevation of T is x°. From another point B, 75 meters from F (and in the same line as A), the angle of elevation of T is y°. If the height of the pole is 25√3 meters, what is the value of x° + y°?

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Correct answer: C

Explanation

The correct answer is Option 3 i.e. 90°.

tan⁡x∘=TFAF=25325=3⇒x∘=60∘\tan x^\circ = \frac{TF}{AF} = \frac{25\sqrt{3}}{25} = \sqrt{3} \Rightarrow x^\circ = 60^\circ

tan⁡y∘=TFBF=25375=13⇒y∘=30∘\tan y^\circ = \frac{TF}{BF} = \frac{25\sqrt{3}}{75} = \frac{1}{\sqrt{3}} \Rightarrow y^\circ = 30^\circ

x° + y° = 60° + 30° = 90°